3484121947200 has 378 divisors, whose sum is σ = 12859061754266. Its totient is φ = 929096386560.

The previous prime is 3484121947193. The next prime is 3484121947231. The reversal of 3484121947200 is 27491214843.

3484121947200 is a `hidden beast` number, since 3 + 48 + 412 + 194 + 7 + 2 + 0 + 0 = 666.

3484121947200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1190787277824 + 2293334669376 = 1091232^2 + 1514376^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10331652 + ... + 10663548.

Almost surely, 2^{3484121947200} is an apocalyptic number.

3484121947200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3484121947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429530877133).

3484121947200 is an abundant number, since it is smaller than the sum of its proper divisors (9374939807066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3484121947200 is an frugal number, since it uses more digits than its factorization.

3484121947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331943 (or 331907 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3484121947200 in words is "three trillion, four hundred eighty-four billion, one hundred twenty-one million, nine hundred forty-seven thousand, two hundred".